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107427888 = 2432977691
BaseRepresentation
bin1100110011100…
…11100000110000
321111010220100200
412121303200300
5210000143023
614354315200
72443056561
oct631634060
9244126320
10107427888
1155705187
122bb88b00
13193446c9
14103a6168
159670743
hex6673830

107427888 has 60 divisors (see below), whose sum is σ = 303787848. Its totient is φ = 35435520.

The previous prime is 107427883. The next prime is 107427937. The reversal of 107427888 is 888724701.

It is a super-2 number, since 2×1074278882 = 23081502240281088, which contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (107427883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10123 + ... + 17813.

Almost surely, 2107427888 is an apocalyptic number.

107427888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107427888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151893924).

107427888 is an abundant number, since it is smaller than the sum of its proper divisors (196359960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107427888 is a wasteful number, since it uses less digits than its factorization.

107427888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7802 (or 7793 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 107427888 is about 10364.7425438358. The cubic root of 107427888 is about 475.3779271133.

The spelling of 107427888 in words is "one hundred seven million, four hundred twenty-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1552 1746 2328 3492 4656 6984 7691 13968 15382 23073 30764 46146 61528 69219 92292 123056 138438 184584 276876 369168 553752 746027 1107504 1492054 2238081 2984108 4476162 5968216 6714243 8952324 11936432 13428486 17904648 26856972 35809296 53713944 107427888